Existence and Boundedness of the Kuhn-Tucker Multipliers in Nonsmooth Multiobjective Optimization

X. F. Li () and J. Z. Zhang
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X. F. Li: Jilin University
J. Z. Zhang: BJNU-HKBU United International College

Journal of Optimization Theory and Applications, 2010, vol. 145, issue 2, No 10, 373-386

Abstract: Abstract Using the idea of upper convexificators, we propose constraint qualifications and study existence and boundedness of the Kuhn-Tucker multipliers for a nonsmooth multiobjective optimization problem with inequality constraints and an arbitrary set constraint. We show that, at locally weak efficient solutions where the objective and constraint functions are locally Lipschitz, the constraint qualifications are necessary and sufficient conditions for the Kuhn-Tucker multiplier sets to be nonempty and bounded under certain semiregularity assumptions on the upper convexificators of the functions.

Keywords: Upper convexificators; Constraint qualifications; Existence and boundedness of Kuhn-Tucker multipliers; Nonsmooth multiobjective optimization (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-009-9644-y

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